Cheer

Cheer on — To support someone by giving them words of encouragement. (Can be separated by the name or pronoun of the person/people being cheered on).

“Even though Samantha was in the last place, her brother cheeredher on through the entire race.”

Cheer up — This phrase can either be used as a phrase of encouragement said to someone who seems sad (just saying “cheer up!” to them), or it can mean to try to make someone happier.

“Andrew was having a bad day, so his girlfriend cheered him up by taking him out for ice cream.”